38948634307681 has 64 divisors (see below), whose sum is σ = 45626530201600. Its totient is φ = 32562072518976.

The previous prime is 38948634307651. The next prime is 38948634307691. The reversal of 38948634307681 is 18670343684983.

It is not a de Polignac number, because 38948634307681 - 2³³ = 38940044373089 is a prime.

It is a super-2 number, since 2×38948634307681² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 38948634307681.

It is not an unprimeable number, because it can be changed into a prime (38948634307601) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29891506876 + ... + 29891508178.

It is an arithmetic number, because the mean of its divisors is an integer number (712914534400).

Almost surely, 2^{38948634307681} is an apocalyptic number.

It is an amenable number.

38948634307681 is a deficient number, since it is larger than the sum of its proper divisors (6677895893919).

38948634307681 is a wasteful number, since it uses less digits than its factorization.

38948634307681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3018.

The product of its (nonzero) digits is 501645312, while the sum is 70.

The spelling of 38948634307681 in words is "thirty-eight trillion, nine hundred forty-eight billion, six hundred thirty-four million, three hundred seven thousand, six hundred eighty-one".